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Finding the Fourth Proportional to 390.14, 585.30 and 253.34

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Solution

The fourth proportional to 390.14, 585.30 and 253.34 is: 380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.14 : 585.30 = 253.34 : x
  2. Step 2: Convert to fraction form
    390.14/585.30 = 253.34/x
  3. Step 3: Cross multiply
    390.14x = 585.30 × 253.34
  4. Step 4: Simplify right side
    390.14x = 148,279.90
  5. Step 5: Solve for x
    x = 148,279.90/390.14
  6. Step 6: Final answer
    x = 380.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.